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Finding the Fourth Proportional to 799.22, 1,196.94 and 509.78

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Solution

The fourth proportional to 799.22, 1,196.94 and 509.78 is: 763.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.22 : 1,196.94 = 509.78 : x
  2. Step 2: Convert to fraction form
    799.22/1,196.94 = 509.78/x
  3. Step 3: Cross multiply
    799.22x = 1,196.94 × 509.78
  4. Step 4: Simplify right side
    799.22x = 610,176.07
  5. Step 5: Solve for x
    x = 610,176.07/799.22
  6. Step 6: Final answer
    x = 763.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.